I = -2\ln\lvert x\rvert + 2\ln\lvert x-2\rvert + \frac{3}{x-2} + C = \ln\Bigl\lvert\frac{(x-2)^{2}}{x^{2}}\Bigr\rvert + \frac{3}{x-2} + C.
Resposta
I = -2\ln\lvert x\rvert + 2\ln\lvert x-2\rvert + \frac{3}{x-2} + C \quad\text{ou}\quad I = \ln\Bigl\lvert\frac{(x-2)^{2}}{x^{2}}\Bigr\rvert + \frac{3}{x-2} + C.